Evaluate
-\frac{140608\sqrt{2}}{125}\approx -1590.797924625
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8\sqrt{2}\left(-\frac{17576}{125}\right)
Factor 128=8^{2}\times 2. Rewrite the square root of the product \sqrt{8^{2}\times 2} as the product of square roots \sqrt{8^{2}}\sqrt{2}. Take the square root of 8^{2}.
\frac{8\left(-17576\right)}{125}\sqrt{2}
Express 8\left(-\frac{17576}{125}\right) as a single fraction.
\frac{-140608}{125}\sqrt{2}
Multiply 8 and -17576 to get -140608.
-\frac{140608}{125}\sqrt{2}
Fraction \frac{-140608}{125} can be rewritten as -\frac{140608}{125} by extracting the negative sign.
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